Solve ln(64) - ln(9) - ln(55)

Evaluate

ln (64) - ln (9) - ln (55)

Subtract the numbers

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2 ln (\frac{8}{3}) - ln (55)

Rewrite the expression

ln ((\frac{8}{3})^{2}) - ln (55)

Use the logarithm product rule

ln \frac{( \frac{8}{3} ) ^{2}}{55}

Divide the terms

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ln (\frac{8 ^{2}}{495})

Evaluate the power

ln (\frac{64}{495})

Use lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y) to transform the expression

ln (64) - ln (495)

Solution

More Steps

6 ln (2) - ln (495)

Alternative Form

\approx - 2.045675

Calculate the value